Find the probabilities of 2 of a kind eg 2 fives or 2 kings


I deal myself 3 cards from a standard 52-card deck. Find the probabilities of each of the following events:

(a) 2 of a kind (e.g., 2 fives or 2 kings);

(b) 3 of a kind;

(c) 3 of the same suit (a.k.a a flush, e.g., 3 hearts or 3 clubs);

(d) 3 cards in consecutive order (a.k.a. a straight, e.g., 2-3-4 or 10-J-Q)

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Basic Statistics: Find the probabilities of 2 of a kind eg 2 fives or 2 kings
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